Math 401
Murray Gerstenhaber, “Some Elementary Properties of Convex Polyhedral Cones” (1948) [No copy exists]
Math 402
David Gale, “Summary of Theory of Polyhedral Cones and Linear Inequalities” (October 6, 1949) [2pp]
Math 403
Morton Slater, “Lagrange Multipliers Revisited: A Contribution to Non-linear Programming” (November 7, 1950) [12pp]
Math 404
Morton Slater, “A Theorem on Characteristic Roots” (June 1, 1951) [2pp]
Math 405
Gerard Debreu, “Characteristic Roots of Non-negative Matrices” (June 1, 1951) [2pp]
Math 406
I. N. Herstein, “A Theorem on Characterstic Roots” (July 23, 1951) [3pp]
Math 407
Gerard Debreu, “Quadratic Forms Deﬁnite under Linear Constraints” (August 13, 1951) [3pp]
Math 408
Gerard Debreu, “Deﬁnite and Semi-deﬁnite Quadratic Forms” (September 6, 1951) [7pp]
Math 409
Theodore W. Anderson, “Remark on Properties of Nonnegative Matrices” (October 1, 1951) [1p]
Math 410
I. N. Herstein, “Positive and Nonnegative Matrices I” (October 2, 1951) [6pp]
Math 411
Herbert A. Simon, “Some Theorems on the Combinatorial Ranks of Matrices” (November 29, 1951) [7pp]
Math 412
Gerard Debreu, “Saddle Point Existence Theorems” (January 4, 1951) [13pp]
Math 413
Helmut Wielandt, “Indecomposable, Nonnegative Matrices” [translated from the German by I. N. Herstein] (February 5, 1952) [11pp]
Math 414
Gerard Debreu and I. N. Herstein, “Nonnegative, Indecomposable Matrices” (1952) [3pp]
Math 415
Leonid Hurwicz, “The Minkowski-Farkas Lemma for Bounded Linear Transformations in Banach Spaces” (July 16, 1952) [5pp]
Math 416
Leonid Hurwicz, “Minkowski-Farkas Lemma in Banach Spaces” (October 17, 1952) [5pp]
Math 417
Gerard Debreu and I. N. Herstein, “Nonnegative Square Matrices” (October 1, 1952) [15pp]
Math 418
Leonid Hurwicz, “Largrangian Saddle Points in Banach Spaces (Summary of Results)” (March 12, 1953) [7pp]
Math 419
I. N. Herstein, “An Index to Some Banach Space Deﬁnitions and Results” (March 16, 1953) [6pp]
Math 420
Leonid Hurwicz, “Maximality (‘Eﬀiciency’) and Lagrangian Saddle Points” (March 18, 1953) [6pp]
Math 421
Leo Törnqvist, “Some General Mean Value Operations, and Matrice-operations Related to ‘Min’ and ‘Max’ Operations” (April 9, 1953) [10pp]
Math 422
Leo Törnqvist, “How to Find Optimal Admissible Summations Ways” (April 28, 1953) [11pp]
Math 423
Gerard Debreu, “Separation Theorems for Covex Sets” (June 2, 1953) [5pp]
Math 424
Leo Törnqvist, “How to Find Optimal Solutions to Assignment Problems” (August 3, 1953) [22pp]
Math 425
Theodore S. Motzkin, “The Assignment Problem” (March 8, 1954) [24pp]
Math 426
A. W. Tucker, “Transformation of Dual Linear Programs: Summary” (April 26, 1954) [3pp]
Math 427
Donald Bratton, “The Duality Theorem in Linear Programming” (January 6, 1955) [19pp]
Math 428
William S. Vickrey, “Farkas Lemma, Duality and Largrangian Multipliers” (February 14, 1955) [9pp]